TSTP Solution File: GEO037-2 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GEO037-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 22:49:20 EDT 2023
% Result : Unsatisfiable 61.02s 61.78s
% Output : Proof 61.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO037-2 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 20:00:37 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.50 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.pocKcLEr4I/cvc5---1.0.5_17140.p...
% 0.20/0.50 ------- get file name : TPTP file name is GEO037-2
% 0.20/0.51 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_17140.smt2...
% 0.20/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.37/10.57 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.35/15.60 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.35/20.64 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.41/25.70 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.52/30.76 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.44/35.79 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.62/40.85 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 45.84/46.07 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 50.89/51.13 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 55.93/56.18 --- Run --relevant-triggers --full-saturate-quant at 5...
% 60.90/61.24 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 61.02/61.78 % SZS status Unsatisfiable for GEO037-2
% 61.02/61.78 % SZS output start Proof for GEO037-2
% 61.02/61.78 (
% 61.02/61.78 (let ((_let_1 (tptp.extension tptp.u tptp.v tptp.lower_dimension_point_1 tptp.lower_dimension_point_2))) (let ((_let_2 (tptp.between tptp.u tptp.v _let_1))) (let ((_let_3 (tptp.extension tptp.w tptp.x tptp.lower_dimension_point_1 tptp.lower_dimension_point_2))) (let ((_let_4 (tptp.equidistant tptp.v _let_1 tptp.x _let_3))) (let ((_let_5 (not _let_4))) (let ((_let_6 (= tptp.v _let_1))) (let ((_let_7 (or _let_6 _let_5 (not _let_2)))) (let ((_let_8 (tptp.between tptp.lower_dimension_point_3 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2))) (let ((_let_9 (not _let_8))) (let ((_let_10 (forall ((Y $$unsorted) (X $$unsorted) (W $$unsorted) (V $$unsorted)) (tptp.equidistant Y (tptp.extension X Y W V) W V)))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted) (V $$unsorted)) (tptp.between X Y (tptp.extension X Y W V))))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.equidistant X Y Z Z)) (= X Y))))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (V $$unsorted) (V2 $$unsorted) (W $$unsorted)) (or (not (tptp.equidistant X Y Z V)) (not (tptp.equidistant X Y V2 W)) (tptp.equidistant Z V V2 W))))) (let ((_let_14 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.equidistant X Y Y X)))) (let ((_let_15 (tptp.equidistant _let_1 tptp.v tptp.v _let_1))) (let ((_let_16 (_let_14))) (let ((_let_17 (ASSUME :args _let_16))) (let ((_let_18 (tptp.equidistant _let_1 tptp.v tptp.x _let_3))) (let ((_let_19 (not _let_18))) (let ((_let_20 (not _let_15))) (let ((_let_21 (or _let_20 _let_19 _let_4))) (let ((_let_22 (_let_13))) (let ((_let_23 (ASSUME :args _let_22))) (let ((_let_24 (tptp.equidistant tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.x _let_3))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.equidistant tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 _let_1 tptp.v))) (let ((_let_27 (not _let_26))) (let ((_let_28 (or _let_27 _let_25 _let_18))) (let ((_let_29 (tptp.equidistant tptp.v _let_1 _let_1 tptp.v))) (let ((_let_30 (not _let_29))) (let ((_let_31 (tptp.equidistant tptp.v _let_1 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2))) (let ((_let_32 (not _let_31))) (let ((_let_33 (or _let_32 _let_30 _let_26))) (let ((_let_34 (_let_10))) (let ((_let_35 (ASSUME :args _let_34))) (let ((_let_36 ((tptp.extension X Y W V)))) (let ((_let_37 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_32 _let_30 _let_26 (not _let_33)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.v tptp.u tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_36)) :args _let_34)) _let_35 :args (_let_31 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (tptp.v _let_1 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_16)) _let_17 :args (_let_29 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (tptp.v _let_1 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 _let_1 tptp.v QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_22)) _let_23 :args (_let_33 false _let_13)) :args (_let_26 false _let_31 false _let_29 false _let_33)))) (let ((_let_38 (tptp.equidistant tptp.x _let_3 tptp.x _let_3))) (let ((_let_39 (not _let_38))) (let ((_let_40 (tptp.equidistant tptp.x _let_3 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2))) (let ((_let_41 (not _let_40))) (let ((_let_42 (or _let_41 _let_39 _let_24))) (let ((_let_43 (tptp.equidistant _let_3 tptp.x tptp.x _let_3))) (let ((_let_44 (not _let_43))) (let ((_let_45 (or _let_44 _let_44 _let_38))) (let ((_let_46 (_let_11))) (let ((_let_47 (ASSUME :args _let_46))) (let ((_let_48 (tptp.equidistant tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 _let_1 _let_1))) (let ((_let_49 (not _let_6))) (let ((_let_50 (= tptp.lower_dimension_point_1 tptp.lower_dimension_point_2))) (let ((_let_51 (not _let_48))) (let ((_let_52 (or _let_51 _let_50))) (let ((_let_53 (_let_12))) (let ((_let_54 (ASSUME :args _let_53))) (let ((_let_55 (tptp.extension tptp.lower_dimension_point_3 tptp.lower_dimension_point_2 tptp.lower_dimension_point_3 tptp.lower_dimension_point_3))) (let ((_let_56 (= tptp.lower_dimension_point_1 _let_55))) (let ((_let_57 (= tptp.lower_dimension_point_2 _let_55))) (let ((_let_58 (not _let_50))) (let ((_let_59 (tptp.extension tptp.lower_dimension_point_3 tptp.lower_dimension_point_1 tptp.lower_dimension_point_3 tptp.lower_dimension_point_3))) (let ((_let_60 (tptp.between tptp.lower_dimension_point_3 tptp.lower_dimension_point_1 _let_59))) (let ((_let_61 (= tptp.lower_dimension_point_1 _let_59))) (let ((_let_62 (not _let_56))) (let ((_let_63 (ASSUME :args (_let_9)))) (let ((_let_64 (or))) (let ((_let_65 (not _let_61))) (let ((_let_66 (_let_65))) (let ((_let_67 (REFL :args (_let_58)))) (let ((_let_68 (ASSUME :args (_let_50)))) (let ((_let_69 (SYMM _let_68))) (let ((_let_70 (SYMM _let_69))) (let ((_let_71 (ASSUME :args (_let_61)))) (let ((_let_72 (REFL :args (tptp.lower_dimension_point_1)))) (let ((_let_73 (REFL :args (tptp.lower_dimension_point_3)))) (let ((_let_74 (ASSUME :args (_let_60)))) (let ((_let_75 (and _let_50 _let_65))) (let ((_let_76 (ASSUME :args _let_66))) (let ((_let_77 (tptp.equidistant tptp.lower_dimension_point_2 _let_55 tptp.lower_dimension_point_3 tptp.lower_dimension_point_3))) (let ((_let_78 (not _let_77))) (let ((_let_79 (or _let_78 _let_57))) (let ((_let_80 (and _let_50 _let_57))) (let ((_let_81 (ASSUME :args (_let_57)))) (let ((_let_82 (ASSUME :args (_let_26)))) (let ((_let_83 (ASSUME :args (_let_6)))) (let ((_let_84 (ASSUME :args (_let_51)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (_let_1 tptp.v QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_16)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_4 _let_20 _let_19 (not _let_21)))) (MACRO_RESOLUTION_TRUST (ASSUME :args (_let_7)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_82 _let_83 _let_84) :args (_let_6 _let_26 _let_51)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_84)) (CONG _let_72 (REFL :args (tptp.lower_dimension_point_2)) (REFL :args (_let_1)) (SYMM _let_83) :args (APPLY_UF tptp.equidistant)) (TRUE_INTRO _let_82))) :args (_let_26 _let_6 _let_51)) :args ((not (and _let_6 _let_26 _let_51)) SB_LITERAL))) (CONG (REFL :args (_let_49)) (REFL :args (_let_27)) (MACRO_SR_PRED_INTRO :args ((= (not _let_51) _let_48))) :args _let_64)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_50 _let_51 (not _let_52)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_80)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_81 _let_68) (SCOPE (TRANS _let_70 (SYMM (SYMM _let_81))) :args (_let_57 _let_50))) :args (_let_50 _let_57))) :args (true _let_80)) :args ((or _let_58 _let_56 (not _let_57)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_79)) :args ((or _let_78 _let_57 (not _let_79)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.lower_dimension_point_2 tptp.lower_dimension_point_3 tptp.lower_dimension_point_3 tptp.lower_dimension_point_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_34)) _let_35 :args (_let_77 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.lower_dimension_point_2 _let_55 tptp.lower_dimension_point_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_53)) _let_54 :args (_let_79 false _let_12)) :args (_let_57 false _let_77 false _let_79)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_75)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_76 _let_68) (SCOPE (FALSE_ELIM (TRANS (CONG _let_72 (CONG _let_73 _let_69 _let_73 _let_73 :args (APPLY_UF tptp.extension)) :args (=)) (FALSE_INTRO _let_76))) :args (_let_65 _let_50))) :args (_let_50 _let_65))) :args (true _let_75)) (CONG _let_67 (MACRO_SR_PRED_INTRO :args ((= (not _let_65) _let_61))) (REFL :args (_let_62)) :args _let_64)) (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_63 _let_68 _let_71 _let_74) :args (_let_9 _let_50 _let_60 _let_61)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_74)) (CONG _let_73 _let_72 (TRANS (SYMM _let_71) _let_70) :args (APPLY_UF tptp.between)) (FALSE_INTRO _let_63))) :args (_let_9 _let_50 _let_61 _let_60)) :args ((not (and _let_9 _let_50 _let_60 _let_61)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_8))) _let_67 (REFL :args ((not _let_60))) (REFL :args _let_66) :args _let_64)) _let_63 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.lower_dimension_point_3 tptp.lower_dimension_point_1 tptp.lower_dimension_point_3 tptp.lower_dimension_point_3 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_46)) _let_47 :args ((or _let_58 _let_62) true _let_61 true _let_8 false _let_60 false _let_11)) :args (_let_58 false _let_57 true _let_56)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 _let_1 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_53)) _let_54 :args (_let_52 false _let_12)) :args (_let_51 true _let_50 false _let_52)) _let_37 :args (_let_49 true _let_48 false _let_26)) (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.u tptp.v tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.extension X Y W V)))) :args _let_46)) :args ((or _let_2 (not _let_11)))) _let_47 :args (_let_2 false _let_11)) :args (_let_5 true _let_6 false _let_2)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_25 _let_27 _let_18 (not _let_28)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_39 _let_41 _let_24 (not _let_42)))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_45))) :args ((or _let_38 _let_44 (not _let_45)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (_let_3 tptp.x QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.equidistant X Y Y X) true))))) :args _let_16)) _let_17 :args (_let_43 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (_let_3 tptp.x tptp.x _let_3 tptp.x _let_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_22)) _let_23 :args (_let_45 false _let_13)) :args (_let_38 false _let_43 false _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.x tptp.w tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_36)) :args _let_34)) _let_35 :args (_let_40 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (tptp.x _let_3 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.x _let_3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_22)) _let_23 :args (_let_42 false _let_13)) :args (_let_24 false _let_38 false _let_40 false _let_42)) _let_37 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 _let_1 tptp.v tptp.x _let_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_22)) _let_23 :args (_let_28 false _let_13)) :args (_let_18 false _let_24 false _let_26 false _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (_let_1 tptp.v tptp.v _let_1 tptp.x _let_3 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.equidistant Z V V2 W) true)) (not (= (tptp.equidistant X Y Z V) false))))) :args _let_22)) _let_23 :args (_let_21 false _let_13)) :args (_let_20 true _let_4 false _let_18 false _let_21)) _let_17 :args (false true _let_15 false _let_14)) :args (_let_14 _let_13 _let_12 _let_11 _let_10 (forall ((X $$unsorted) (Y $$unsorted) (X1 $$unsorted) (Y1 $$unsorted) (Z $$unsorted) (Z1 $$unsorted) (V $$unsorted) (V1 $$unsorted)) (or (not (tptp.equidistant X Y X1 Y1)) (not (tptp.equidistant Y Z Y1 Z1)) (not (tptp.equidistant X V X1 V1)) (not (tptp.equidistant Y V Y1 V1)) (not (tptp.between X Y Z)) (not (tptp.between X1 Y1 Z1)) (= X Y) (tptp.equidistant Z V Z1 V1))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.between X Y X)) (= X Y))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (Y $$unsorted) (X $$unsorted)) (or (not (tptp.between U V W)) (not (tptp.between Y X W)) (tptp.between V (tptp.inner_pasch U V W X Y) Y))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (Y $$unsorted) (X $$unsorted)) (or (not (tptp.between U V W)) (not (tptp.between Y X W)) (tptp.between X (tptp.inner_pasch U V W X Y) U))) (not (tptp.between tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_3)) (not (tptp.between tptp.lower_dimension_point_2 tptp.lower_dimension_point_3 tptp.lower_dimension_point_1)) _let_9 (forall ((X $$unsorted) (W $$unsorted) (V $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.equidistant X W X V)) (not (tptp.equidistant Y W Y V)) (not (tptp.equidistant Z W Z V)) (tptp.between X Y Z) (tptp.between Y Z X) (tptp.between Z X Y) (= W V))) (forall ((U $$unsorted) (W $$unsorted) (Y $$unsorted) (V $$unsorted) (X $$unsorted)) (or (not (tptp.between U W Y)) (not (tptp.between V W X)) (= U W) (tptp.between U V (tptp.euclid1 U V W X Y)))) (forall ((U $$unsorted) (W $$unsorted) (Y $$unsorted) (V $$unsorted) (X $$unsorted)) (or (not (tptp.between U W Y)) (not (tptp.between V W X)) (= U W) (tptp.between U X (tptp.euclid2 U V W X Y)))) (forall ((U $$unsorted) (W $$unsorted) (Y $$unsorted) (V $$unsorted) (X $$unsorted)) (or (not (tptp.between U W Y)) (not (tptp.between V W X)) (= U W) (tptp.between (tptp.euclid1 U V W X Y) Y (tptp.euclid2 U V W X Y)))) (forall ((U $$unsorted) (V $$unsorted) (V1 $$unsorted) (X $$unsorted) (X1 $$unsorted) (W $$unsorted)) (or (not (tptp.equidistant U V U V1)) (not (tptp.equidistant U X U X1)) (not (tptp.between U V X)) (not (tptp.between V W X)) (tptp.between V1 (tptp.continuous U V V1 W X X1) X1))) (forall ((U $$unsorted) (V $$unsorted) (V1 $$unsorted) (X $$unsorted) (X1 $$unsorted) (W $$unsorted)) (or (not (tptp.equidistant U V U V1)) (not (tptp.equidistant U X U X1)) (not (tptp.between U V X)) (not (tptp.between V W X)) (tptp.equidistant U W U (tptp.continuous U V V1 W X X1)))) _let_7)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 61.02/61.78 )
% 61.02/61.78 % SZS output end Proof for GEO037-2
% 61.02/61.78 % cvc5---1.0.5 exiting
% 61.02/61.79 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------